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Simplifying 6x + 4xy + -3y + -6x + -3xy + 4y = 0 Reorder the terms: 6x + -6x + 4xy + -3xy + -3y + 4y = 0 Combine like terms: 6x + -6x = 0 0 + 4xy + -3xy + -3y + 4y = 0 4xy + -3xy + -3y + 4y = 0 Combine like terms: 4xy + -3xy = 1xy 1xy + -3y + 4y = 0 Combine like terms: -3y + 4y = 1y 1xy + 1y = 0 Solving 1xy + 1y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1y' to each side of the equation. 1xy + 1y + -1y = 0 + -1y Combine like terms: 1y + -1y = 0 1xy + 0 = 0 + -1y 1xy = 0 + -1y Remove the zero: 1xy = -1y Divide each side by '1y'. x = -1 Simplifying x = -1
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